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Heavy Quarkonium Spectrum and Production/Annihilation Rates to order $β_0^3α_s^3$

A. A. Penin·V. A. Smirnov·M. Steinhauser
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Abstract

We compute the third-order corrections to the heavy quarkonium spectrum and production/annihilation rates due to the leading renormalization group running of the static potential. The previously known complete ${\cal O}(m_qα_s^5)$ result for the heavy quarkonium ground state energy is extended to the exited states. After including the ${\cal O}(α_s^3)$ corrections the perturbative results are in surprisingly good agreement with the experimental data on the masses of the excited $Υ$ resonances and the leptonic width of the $Υ(1S)$ meson. The impact of the corrections on the $Υ$ sum rules and top quark-antiquark threshold production cross section is also discussed.

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A. A. Penin, V. A. Smirnov, M. Steinhauser. 2005-04-06. Heavy Quarkonium Spectrum and Production/Annihilation Rates to order $β_0^3α_s^3$. https://doi.org/10.1016/j.nuclphysb.2005.03.028

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